A generalization of Floater-Hormann interpolants

DOI10.1016/j.cam.2023.115683arXiv2307.05345OpenAlexW4388639489MaRDI QIDQ6145206

Woula Themistoclakis, Marc Van Barel

Publication date: 30 January 2024

Published in: Journal of Computational and Applied Mathematics (Search for Journal in Brave)

Full work available at URL: https://arxiv.org/abs/2307.05345

zbMATH Keywords

rate of convergencerational interpolationbarycentric interpolationblending functionFloater-Hormann interpolation

Mathematics Subject Classification ID

Approximation by rational functions (41A20) Numerical interpolation (65D05) Rate of convergence, degree of approximation (41A25)

Cites Work

• On the numerical stability of Floater-Hormann's rational interpolant
• On the Lebesgue constant of barycentric rational interpolation at equidistant nodes
• The stability of extended Floater-Hormann interpolants
• On the Lebesgue constant of Berrut's rational interpolant at equidistant nodes
• Rational functions for guaranteed and experimentally well-conditioned global interpolation
• Pyramid algorithms for barycentric rational interpolation
• Recent advances in linear barycentric rational interpolation
• Barycentric rational interpolation with no poles and high rates of approximation
• AAA interpolation of equispaced data
• Convergence of Linear Barycentric Rational Interpolation for Analytic Functions
• An Extension of the Floater–Hormann Family of Barycentric Rational Interpolants

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